An effective field theory approach to color superconductivity at high quark density

We investigate the Fermi Liquid theory of high density QCD, Using the renor malization group (RG), we determine the behavior of effective fermion inter actions near the Fermi surface. At sufficiently high densities the matching between the Fermi Liquid theory and QCD can be accomplished in perturbatio n theory and a reliable calculation of Cooper pair formation performed, mod ule the existence of screening masses for the gluon. The presence of a chem ical potential leads to different RG flows for sub-components of the effect ive interactions which would ordinarily be linked by Lorentz invariance, We also study instanton-induced operators and find that near the Fermi surfac e they are likely to be subdominant relative to operators induced by pertur bative gluon exchange. We discuss the implications of our results for the p hase structure of QCD at finite baryon density and temperature. (C) 1999 El sevier Science B.V. All rights reserved.